Nontriviality of \(SK_ 1 (R[ M])\)

DOI10.1016/0022-4049(94)00130-1zbMath0840.19002OpenAlexW2161246659MaRDI QIDQ1903708

Joseph Gubeladze

Publication date: 12 December 1995

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)00130-1

zbMATH Keywords

monoid ringsseminormality\(K_ 1\)-regular

Mathematics Subject Classification ID

Semigroup rings, multiplicative semigroups of rings (20M25) Whitehead groups and (K_1) (19B99) Symbols, presentations and stability of (K_2) (19C20)

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Toric varieties with huge Grothendieck group ⋮ The Steinberg group of a monoid ring, nilpotence, and algorithms ⋮ The isomorphism problem for monoid rings of rank \(2\) monoids ⋮ Negative 𝐾-theory and Chow group of monoid algebras ⋮ Monomial subrings in arbitrary dimension ⋮ \(K\)-theory of toric varieties revisited ⋮ The nilpotence conjecture in \(K\)-theory of toric varieties ⋮ Unimodular rows over monoid rings ⋮ The 𝐾-theory of toric varieties ⋮ -THEORY OF MONOID ALGEBRAS AND A QUESTION OF GUBELADZE ⋮ ABSENCE OF TORSION FOR NK₁(R) OVER ASSOCIATIVE RINGS ⋮ The isomorphism problem for commutative monoid rings

Cites Work

• Module structures on the K-theory of graded rings
• The Picard group of a monoid domain
• Divisorial ideals and invertible ideals in a graded integral domain
• The elementary action on unimodular rows over a monoid ring
• The elementary action on unimodular rows over a monoid ring. II
• \(K_2(A[X,Y/XY)\), a problem of Swan, and related computations]
• The Serre problem for discrete Hodge algebras
• Fundamental groups, algebraic K-theory, and a problem of Abhyankar
• The Whitehead group of a polynomial extension
• K1 of the cone over a curve.
• ANDERSON'S CONJECTURE AND THE MAXIMAL MONOID CLASS OVER WHICH PROJECTIVE MODULES ARE FREE
• A presentation for some 𝐾₂(𝑛,𝑅)
• Subrings of Generated by Monomials
• Introduction to Algebraic K-Theory. (AM-72)
• On seminormality
• Algebraic \(K\)-theory
• Excision in algebraic \(K\)-theory
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